Difference between conditional and intersection in probability.

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I am having hard time figuring out if it is a conditional probability or an "and" probability under the following types of problems.

When a student is absent, the probability of the student being sick is .6

In such a sentence, I am not quite sure if the probability is conditional or the probability when the student is sick and absent.

Which one would it be?

As a matter of fact, is there a rule of thumb to be able to tell if it is conditional or not?

I feel as though every time I deal with these kind of problems I get stuck.

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Now, given that the student is absent, the probability of a student being sick is 0.6.

The student being absent is treated as an event that has happened, so we are conditioning on that